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Does (2,6)(2,\,6) make the inequality 16x + 14y > 14 true? \newlineChoices:\newline(A)yes\newline(B)no

Full solution

Q. Does (2,6)(2,\,6) make the inequality 16x+14y>1416x + 14y > 14 true? \newlineChoices:\newline(A)yes\newline(B)no
  1. Substitute values into inequality: Substitute the values 2,62, 6 into the inequality 16x + 14y > 14. The substituted inequality is 16(2) + 14(6) > 14.
  2. Calculate left side: Calculate the left side of the inequality 16(2)+14(6)16(2) + 14(6). Simplify it to get 32+8432 + 84.
  3. Add numbers: Add the numbers 32+8432 + 84 to get 116116.
  4. Check if inequality is true: The inequality 16(2) + 14(6) > 14 becomes 116 > 14. Now, determine if the point (2,6)(2, 6) makes the inequality 16x + 14y > 14 true. 116 > 14 is a true statement.

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